Pith Number

pith:CAZKB5VA

pith:2017:CAZKB5VA7I5LNQ7EWG2RPWRNGO

not attested not anchored not stored refs pending

On a Penrose-like inequality in dimensions less than eight

Pengzi Miao, Stephen McCormick

arxiv:1701.04805 v1 · 2017-01-17 · math.DG · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CAZKB5VA7I5LNQ7EWG2RPWRNGO}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:52:35.077880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1032a0f6a0fa3ab6c3e4b1b517da2d338e8bdbb794812d5b4849d914d2791129

Aliases

arxiv: 1701.04805 · arxiv_version: 1701.04805v1 · doi: 10.48550/arxiv.1701.04805 · pith_short_12: CAZKB5VA7I5L · pith_short_16: CAZKB5VA7I5LNQ7E · pith_short_8: CAZKB5VA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CAZKB5VA7I5LNQ7EWG2RPWRNGO \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 1032a0f6a0fa3ab6c3e4b1b517da2d338e8bdbb794812d5b4849d914d2791129

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eed7d8062200791b44d77d113f011c489b99ca72c737579026b4217769a5d4ec",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-01-17T18:38:52Z",
    "title_canon_sha256": "588577ed66dc1eb46cbc2f3c049e79d4634ad93c45d369ddb6c56e6710afbf59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.04805",
    "kind": "arxiv",
    "version": 1
  }
}